45 citations · 73 across the 6 of their papers we have counts for
7 papers
WaveGSSM: Graph Wave State Space Models for Propagating Spatio-Temporal Patterns
Junyou Zhu, Fenying Cai, Ping Xiong +5
Spatio-temporal graph models typically encode each snapshot with a GNN and then connect the resulting representations through a temporal module. This space-then-time design is effe…
Nodal Braess's Paradox and Inertia Destabilization with Dynamic Node and Line Failures in Power Grids
Nubius Brandner, Frank Hellmann, Hans Würfel +3
Large-scale power outages are typically caused by cascading failures. These unfold dynamically through complex interactions between network dynamics and individual component failur…
Instability in Complex Oscillator Networks: Limitations and Potentials of Network Measures and Machine Learning
Christian Nauck, Michael Lindner, Nora Molkenthin +4
A central question of network science is how functional properties of systems emerge from their structure. For networked dynamical systems, structure is typically captured through…
Resonant Solitary States in Complex Networks
Jakob Niehues, Serhiy Yanchuk, Rico Berner +3
Partially synchronized solitary states occur frequently when a synchronized system of networked oscillators is perturbed locally. Several asymptotic states of different frequencies…
Monte Carlo Basin Bifurcation Analysis
Maximilian Gelbrecht, Jürgen Kurths, Frank Hellmann
Many high-dimensional complex systems exhibit an enormously complex landscape of possible asymptotic states. Here, we present a numerical approach geared towards analyzing such sys…
Impact of Network Topology on the Stability of DC Microgrids
Julian F. Wienand, David Eidmann, Julian Kremers +3
We probe the stability of Watts-Strogatz DC microgrids, in which droop-controlled producers and constant power load consumers are homogeneously distributed and obey Kirchhoff's cir…
Deciphering the imprint of topology on nonlinear dynamical network stability
Jan Nitzbon, Paul Schultz, Jobst Heitzig +2
Coupled oscillator networks show a complex interrelations between topological characteristics of the network and the nonlinear stability of single nodes with respect to large but r…